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A099696 Consider the family of multigraphs enriched by the species of involutions. Sequence gives number of those multigraphs with n labeled edges. 3
1, 1, 4, 25, 244, 3380, 62133, 1440382, 40673705, 1364815169, 53415511305, 2402797049419, 122751622204827, 7051227704802797, 451598420376965588, 32013004761567761223, 2495936511077175475140, 212840593118800653411004, 19753575434503894710824531 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..100

G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]

FORMULA

E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014500 and 1 + R(x) is the e.g.f. of A000085. - Andrew Howroyd, Jan 12 2021

PROG

(PARI) \\ R(n) is A000085 as e.g.f.; EnrichedGnSeq defined in A098620.

R(n)={exp(x+x^2/2 + O(x*x^n))}

EnrichedGnSeq(R(20)) \\ Andrew Howroyd, Jan 12 2021

CROSSREFS

Cf. A000085, A014500, A098620, A099697, A099698, A099699.

Sequence in context: A224080 A194569 A198058 * A345105 A220192 A220356

Adjacent sequences:  A099693 A099694 A099695 * A099697 A099698 A099699

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 26 2004

EXTENSIONS

Terms a(11) and beyond from Andrew Howroyd, Jan 12 2021

STATUS

approved

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Last modified October 27 13:40 EDT 2021. Contains 348276 sequences. (Running on oeis4.)